Week 8: Merging, Maps, and More

Factors

Factors…

Factors are a specific way to store categorical data. Usign factors results in a more efficient data storage process, but can be cumbersome.

Factors can be necessary for making plots and fitting models in R.

Character Values

## [1] "character"
## [1] "Friday"   "Saturday" "Sunday"

Creating Factors

## [1] "Friday"   "Monday"   "Saturday" "Sunday"
## [1] "factor"
## [1] Friday   Monday   Saturday Sunday  
## Levels: Friday Monday Saturday Sunday

Creating Factors

Rather than coercing a class variable to be a factor, the factor can be created directly.

## [1] Sunday   Monday   Friday   Saturday
## Levels: Sunday Monday Tuesday Wednesday Thursday Friday Saturday

Sort / Order / Arrange

Sort

We have seen the sort command, this returns a sorted result.

ski.hill skiable.acres
Big Sky 5800
Bridger Bowl 2000
Jackson 2500+
Steamboat 2965

Exercise:

Q1.

What type of variable is skiable.acres in the ski_acres data frame?

Q2.

Sort the ski resorts by skiable acres in descending fashion.

Solution:

Q1.

What type of variable is skiable.acres in the ski_acres data frame?

## [1] "factor"

Solution:

Q2.

Sort the ski resorts by skiable acres in descending fashion.

##       ski.hill skiable.acres
## 1      Big Sky          5800
## 2    Steamboat          2965
## 3      Jackson         2500+
## 4 Bridger Bowl          2000

arrange

Arrange is one of the verb words in the dplyr() package and can be very useful for arranging data frames.

sort/order

Otherwise, the sort and order functions, in base R, can be used.

## [1] 2 3 4 1
##       ski.hill skiable.acres
## 1      Big Sky          5800
## 4    Steamboat          2965
## 3      Jackson         2500+
## 2 Bridger Bowl          2000

categorical variables and factors

We have already seen sorting on factor variables, what about plain categorical variables?

## [1] "Friday"   "Monday"   "Saturday" "Sunday"
## [1] "1"  "10" "2"  "3"

Merge / Join

Merge

Another important skill is merging or combining data sets.

Consider the two data frames, how can we merge them and what should be the dimensions of the merged data frame.

school state
MSU MT
VT VA
Mines CO
school enrollment
Mines 5794
MSU 15688
VT 30598

pre-sort

One possibility is to use the arrange the data frames first.

pre-sort

One possibility is to use the arrange the data frames first.

##   school state
## 3  Mines    CO
## 1    MSU    MT
## 2     VT    VA
##   school enrollment
## 1  Mines       5794
## 2    MSU      15688
## 3     VT      30598

rbind() and cbind()

Now, given that the data frames are both sorted the same way, we can bind the rows together.

##   school state school enrollment
## 3  Mines    CO  Mines       5794
## 1    MSU    MT    MSU      15688
## 2     VT    VA     VT      30598

rbind() and cbind()

Now assume we want to add another school to the data frame.

##   school state enrollment
## 3  Mines    CO       5794
## 1    MSU    MT      15688
## 2     VT    VA      30598
## 4 Luther    IA       2337

Note: if your strings are saved as factors, this chunk of code will give you an error.

bind_rows() / bind_cols()

dplyr also contains functions for binding rows and columns.

Exercise

Now combine the following information into a single table sorted alphabetically by the name of the ski hill.

##       ski.hill skiable.acres
## 1      Big Sky          5800
## 2 Bridger Bowl          2000
## 3      Jackson         2500+
## 4    Steamboat          2965
##     ski.resort ticket.cost
## 1 Bridger Bowl          60
## 2      Big Sky     depends
## 3    Steamboat         145
## 4      Jackson         130
## [1] "Discovery" "2200"      "20"

Solution part 1

Now combine the following information into a single table sorted alphabetically by the name of the ski hill.

##       ski.hill skiable.acres
## 1      Big Sky          5800
## 2 Bridger Bowl          2000
## 3      Jackson         2500+
## 4    Steamboat          2965
## 'data.frame':    4 obs. of  3 variables:
##  $ ski.hill     : Factor w/ 4 levels "Big Sky","Bridger Bowl",..: 1 2 3 4
##  $ skiable.acres: Factor w/ 4 levels "2000","2500+",..: 4 1 2 3
##  $ ticket.cost  : Factor w/ 4 levels "130","145","60",..: 4 3 1 2

Solution part 2

## 'data.frame':    4 obs. of  3 variables:
##  $ ski.hill     : chr  "Big Sky" "Bridger Bowl" "Jackson" "Steamboat"
##  $ skiable.acres: chr  "5800" "2000" "2500+" "2965"
##  $ ticket.cost  : chr  "depends" "60" "130" "145"

Solution part 3

##       ski.hill skiable.acres ticket.cost
## 1      Big Sky          5800     depends
## 2 Bridger Bowl          2000          60
## 3    Discovery          2200          20
## 4      Jackson         2500+         130
## 5    Steamboat          2965         145

join()

We could have also used some of the more advanced merge (join) features from dplyr.

##   school state enrollment
## 1  Mines    CO       5794
## 2    MSU    MT      15688
## 3     VT    VA      30598

more about join

The dplyr join command includes the following options:

  • left join
  • right join
  • inner join
  • full join
  • anti join

Exercise

Combine the two data sets

##       ski.hill skiable.acres
## 1      Big Sky          5800
## 2 Bridger Bowl          2000
## 3      Jackson         2500+
## 4    Steamboat          2965
##     ski.resort ticket.cost
## 1      Big Sky     depends
## 2 Bridger Bowl          60
## 3      Jackson         130
## 4    Steamboat         145
## # A tibble: 1 x 3
##   ski.hill  skiable.acres ticket.cost
##   <chr>     <chr>         <chr>      
## 1 Discovery 2200          20

Solution

## Joining, by = c("ski.hill", "skiable.acres", "ticket.cost")
##       ski.hill skiable.acres ticket.cost
## 1      Big Sky          5800     depends
## 2 Bridger Bowl          2000          60
## 3    Discovery          2200          20
## 4      Jackson         2500+         130
## 5    Steamboat          2965         145

wide / long data

Hoops Data

This is a wide dataset

## # A tibble: 6 x 34
##   Season Daynum Wteam Wscore Lteam Lscore Wloc  Numot  Wfgm  Wfga Wfgm3 Wfga3
##    <dbl>  <dbl> <dbl>  <dbl> <dbl>  <dbl> <chr> <dbl> <dbl> <dbl> <dbl> <dbl>
## 1   2003    134  1421     92  1411     84 N         1    32    69    11    29
## 2   2003    136  1112     80  1436     51 N         0    31    66     7    23
## 3   2003    136  1113     84  1272     71 N         0    31    59     6    14
## 4   2003    136  1141     79  1166     73 N         0    29    53     3     7
## 5   2003    136  1143     76  1301     74 N         1    27    64     7    20
## 6   2003    136  1163     58  1140     53 N         0    17    52     4    14
## # … with 22 more variables: Wftm <dbl>, Wfta <dbl>, Wor <dbl>, Wdr <dbl>,
## #   Wast <dbl>, Wto <dbl>, Wstl <dbl>, Wblk <dbl>, Wpf <dbl>, Lfgm <dbl>,
## #   Lfga <dbl>, Lfgm3 <dbl>, Lfga3 <dbl>, Lftm <dbl>, Lfta <dbl>, Lor <dbl>,
## #   Ldr <dbl>, Last <dbl>, Lto <dbl>, Lstl <dbl>, Lblk <dbl>, Lpf <dbl>

Plot Creation

Consider a plot where the number of points is colored or faceted by winning or losing.

This requires a dataset that is thin and looks something like

Game Id Points win/lose
1 92 win
1 84 lose
2 80 win
2 51 lose

Data Wrangling

## # A tibble: 1,828 x 3
##    score outcome game_id
##    <dbl> <chr>     <int>
##  1    92 win           1
##  2    84 lose          1
##  3    80 win           2
##  4    51 lose          2
##  5    84 win           3
##  6    71 lose          3
##  7    79 win           4
##  8    73 lose          4
##  9    76 win           5
## 10    74 lose          5
## # … with 1,818 more rows

Plot Creation

tidyr package

The tidyr package contains additional tools for converting files from long to wide formats.

Consider the billboard dataset which contains the rank of the song (in 2000) for each week after it first entered the list.

## # A tibble: 317 x 79
##    artist track date.entered   wk1   wk2   wk3   wk4   wk5   wk6   wk7   wk8
##    <chr>  <chr> <date>       <dbl> <dbl> <dbl> <dbl> <dbl> <dbl> <dbl> <dbl>
##  1 2 Pac  Baby… 2000-02-26      87    82    72    77    87    94    99    NA
##  2 2Ge+h… The … 2000-09-02      91    87    92    NA    NA    NA    NA    NA
##  3 3 Doo… Kryp… 2000-04-08      81    70    68    67    66    57    54    53
##  4 3 Doo… Loser 2000-10-21      76    76    72    69    67    65    55    59
##  5 504 B… Wobb… 2000-04-15      57    34    25    17    17    31    36    49
##  6 98^0   Give… 2000-08-19      51    39    34    26    26    19     2     2
##  7 A*Tee… Danc… 2000-07-08      97    97    96    95   100    NA    NA    NA
##  8 Aaliy… I Do… 2000-01-29      84    62    51    41    38    35    35    38
##  9 Aaliy… Try … 2000-03-18      59    53    38    28    21    18    16    14
## 10 Adams… Open… 2000-08-26      76    76    74    69    68    67    61    58
## # … with 307 more rows, and 68 more variables: wk9 <dbl>, wk10 <dbl>,
## #   wk11 <dbl>, wk12 <dbl>, wk13 <dbl>, wk14 <dbl>, wk15 <dbl>, wk16 <dbl>,
## #   wk17 <dbl>, wk18 <dbl>, wk19 <dbl>, wk20 <dbl>, wk21 <dbl>, wk22 <dbl>,
## #   wk23 <dbl>, wk24 <dbl>, wk25 <dbl>, wk26 <dbl>, wk27 <dbl>, wk28 <dbl>,
## #   wk29 <dbl>, wk30 <dbl>, wk31 <dbl>, wk32 <dbl>, wk33 <dbl>, wk34 <dbl>,
## #   wk35 <dbl>, wk36 <dbl>, wk37 <dbl>, wk38 <dbl>, wk39 <dbl>, wk40 <dbl>,
## #   wk41 <dbl>, wk42 <dbl>, wk43 <dbl>, wk44 <dbl>, wk45 <dbl>, wk46 <dbl>,
## #   wk47 <dbl>, wk48 <dbl>, wk49 <dbl>, wk50 <dbl>, wk51 <dbl>, wk52 <dbl>,
## #   wk53 <dbl>, wk54 <dbl>, wk55 <dbl>, wk56 <dbl>, wk57 <dbl>, wk58 <dbl>,
## #   wk59 <dbl>, wk60 <dbl>, wk61 <dbl>, wk62 <dbl>, wk63 <dbl>, wk64 <dbl>,
## #   wk65 <dbl>, wk66 <lgl>, wk67 <lgl>, wk68 <lgl>, wk69 <lgl>, wk70 <lgl>,
## #   wk71 <lgl>, wk72 <lgl>, wk73 <lgl>, wk74 <lgl>, wk75 <lgl>, wk76 <lgl>

billboard data

If we want to identify songs that reach number 1 quickly, the data needs to manipulated.

## # A tibble: 629 x 5
##    artist       track                   date.entered week   rank
##    <chr>        <chr>                   <date>       <chr> <dbl>
##  1 2 Pac        Baby Don't Cry (Keep... 2000-02-26   wk1      87
##  2 2 Pac        Baby Don't Cry (Keep... 2000-02-26   wk2      82
##  3 2Ge+her      The Hardest Part Of ... 2000-09-02   wk1      91
##  4 2Ge+her      The Hardest Part Of ... 2000-09-02   wk2      87
##  5 3 Doors Down Kryptonite              2000-04-08   wk1      81
##  6 3 Doors Down Kryptonite              2000-04-08   wk2      70
##  7 3 Doors Down Loser                   2000-10-21   wk1      76
##  8 3 Doors Down Loser                   2000-10-21   wk2      76
##  9 504 Boyz     Wobble Wobble           2000-04-15   wk1      57
## 10 504 Boyz     Wobble Wobble           2000-04-15   wk2      34
## # … with 619 more rows

Billboard Data Analysis

artist track date.entered week rank week_numb
Madonna Music 2000-08-12 wk6 1 6

Exercise

Determine which song in this dataset spent the most time at #1

Solution

track n
Independent Women Pa… 11
Maria, Maria 10
Come On Over Baby (A… 4
I Knew I Loved You 4
Music 4
Be With You 3
Doesn’t Really Matte… 3
Say My Name 3
Amazed 2
Incomplete 2
It’s Gonna Be Me 2
What A Girl Wants 2
Bent 1
Everything You Want 1
Thank God I Found Yo… 1
Try Again 1
With Arms Wide Open 1

pivot_wider()

The pivot_wider() function allows transformation in the other direction from thin to wide.

Maps in R

ggplot functionality

## [1] "data.frame"
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## 641  -108.6099 47.08567    14               fergus
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## 979  -108.9250 46.12883    19        golden valley
## 980  -109.4235 46.12883    19        golden valley
## 981  -109.4235 46.04289    19        golden valley
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## 999  -108.8562 46.43823    19        golden valley
## 1000 -108.8677 46.35801    19        golden valley
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## 1006 -108.7990 46.28353    19        golden valley
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## 1008 -108.7760 46.27207    19        golden valley
## 1009 -108.7818 46.13456    19        golden valley
## 1010 -108.9250 46.12883    19        golden valley
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## 1104 -110.6210 48.30034    21                 hill
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## 1106 -110.7585 48.20867    21                 hill
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## 1431 -115.9667 48.16283    27              lincoln
## 1432 -116.0469 48.22013    27              lincoln
## 1433 -116.0411 48.48942    27              lincoln
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## 1470 -105.3498 47.79041    28               mccone
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## 1603 -114.6660 46.73617    31              mineral
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## 1751 -113.6061 47.58987    32             missoula
## 1753 -107.8249 46.74763    33          musselshell
## 1754 -107.8135 46.74190    33          musselshell
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## 1757 -107.8364 46.61012    33          musselshell
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## 1777 -108.3635 46.22623    33          musselshell
## 1778 -108.4036 46.22623    33          musselshell
## 1779 -108.4093 46.12883    33          musselshell
## 1780 -108.7818 46.13456    33          musselshell
## 1781 -108.7760 46.27207    33          musselshell
## 1782 -108.7990 46.27207    33          musselshell
## 1783 -108.7990 46.28353    33          musselshell
## 1784 -108.8161 46.30072    33          musselshell
## 1785 -108.8161 46.30645    33          musselshell
## 1786 -108.8333 46.31218    33          musselshell
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## 1789 -108.8677 46.35801    33          musselshell
## 1790 -108.8562 46.43823    33          musselshell
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## 1793 -108.9078 46.48407    33          musselshell
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## 1795 -108.9766 46.56428    33          musselshell
## 1796 -108.9766 46.61012    33          musselshell
## 1797 -109.0052 46.61584    33          musselshell
## 1798 -108.9995 46.74763    33          musselshell
## 1799 -108.6271 46.74763    33          musselshell
## 1800 -107.8249 46.74763    33          musselshell
## 1802 -110.0537 45.17772    34                 park
## 1803 -109.8131 45.17199    34                 park
## 1804 -109.8131 44.99438    34                 park
## 1805 -109.9964 44.99438    34                 park
## 1806 -109.9850 45.01157    34                 park
## 1807 -109.9735 45.04021    34                 park
## 1808 -110.0022 45.05167    34                 park
## 1809 -110.0308 45.05167    34                 park
## 1810 -110.0308 45.04021    34                 park
## 1811 -110.1225 45.02875    34                 park
## 1812 -110.5236 45.03448    34                 park
## 1813 -110.8043 45.03448    34                 park
## 1814 -110.8158 45.05167    34                 park
## 1815 -110.8387 45.06313    34                 park
## 1816 -110.8731 45.04594    34                 park
## 1817 -110.8673 45.02875    34                 park
## 1818 -110.9189 45.03448    34                 park
## 1819 -110.9304 45.06313    34                 park
## 1820 -110.9590 45.07459    34                 park
## 1821 -110.9647 45.09751    34                 park
## 1822 -110.9991 45.08605    34                 park
## 1823 -111.0163 45.07459    34                 park
## 1824 -111.0450 45.06313    34                 park
## 1825 -111.0450 45.21783    34                 park
## 1826 -111.0220 45.22356    34                 park
## 1827 -111.0163 45.34388    34                 park
## 1828 -110.9132 45.34961    34                 park
## 1829 -110.9132 45.52723    34                 park
## 1830 -110.8616 45.52723    34                 park
## 1831 -110.8616 45.59025    34                 park
## 1832 -110.8043 45.59025    34                 park
## 1833 -110.8043 46.14029    34                 park
## 1834 -110.7871 46.14602    34                 park
## 1835 -110.7928 46.19186    34                 park
## 1836 -110.4262 46.19759    34                 park
## 1837 -110.4147 46.18040    34                 park
## 1838 -110.2829 46.18040    34                 park
## 1839 -110.2829 46.14029    34                 park
## 1840 -110.3058 46.13456    34                 park
## 1841 -110.3001 45.79079    34                 park
## 1842 -110.2142 45.78506    34                 park
## 1843 -110.2084 45.36107    34                 park
## 1844 -110.2314 45.33815    34                 park
## 1845 -110.2256 45.17772    34                 park
## 1846 -110.0537 45.17772    34                 park
## 1848 -107.8765 46.84503    35            petroleum
## 1849 -107.8249 46.74763    35            petroleum
## 1850 -108.6271 46.74763    35            petroleum
## 1851 -108.6328 46.83357    35            petroleum
## 1852 -108.6041 46.83930    35            petroleum
## 1853 -108.6099 47.08567    35            petroleum
## 1854 -108.7245 47.09713    35            petroleum
## 1855 -108.7359 47.17735    35            petroleum
## 1856 -108.7130 47.18880    35            petroleum
## 1857 -108.7130 47.26902    35            petroleum
## 1858 -108.5870 47.26902    35            petroleum
## 1859 -108.5870 47.29193    35            petroleum
## 1860 -108.3406 47.30340    35            petroleum
## 1861 -108.3119 47.32059    35            petroleum
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## 1863 -108.3119 47.58987    35            petroleum
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## 1866 -108.0140 47.60133    35            petroleum
## 1867 -107.9624 47.58987    35            petroleum
## 1868 -107.9223 47.56123    35            petroleum
## 1869 -107.9051 47.49820    35            petroleum
## 1870 -107.9166 47.45810    35            petroleum
## 1871 -107.9223 47.44091    35            petroleum
## 1872 -107.8994 47.41226    35            petroleum
## 1873 -107.9109 47.38934    35            petroleum
## 1874 -107.9510 47.37215    35            petroleum
## 1875 -107.9682 47.34923    35            petroleum
## 1876 -107.9395 47.33204    35            petroleum
## 1877 -107.9510 47.20026    35            petroleum
## 1878 -107.9281 47.18307    35            petroleum
## 1879 -107.9624 47.16016    35            petroleum
## 1880 -107.9624 47.13724    35            petroleum
## 1881 -107.9166 47.04556    35            petroleum
## 1882 -107.9223 47.02264    35            petroleum
## 1883 -107.8880 47.01691    35            petroleum
## 1884 -107.8937 46.98254    35            petroleum
## 1885 -107.9395 46.91378    35            petroleum
## 1886 -107.9338 46.89087    35            petroleum
## 1887 -107.8937 46.86222    35            petroleum
## 1888 -107.8765 46.84503    35            petroleum
## 1890 -108.3234 47.57269    36             phillips
## 1891 -108.3922 47.59560    36             phillips
## 1892 -108.4323 47.60706    36             phillips
## 1893 -108.4380 47.61279    36             phillips
## 1894 -108.4724 47.60133    36             phillips
## 1895 -108.5411 47.62998    36             phillips
## 1896 -108.6729 47.63571    36             phillips
## 1897 -108.7302 47.64717    36             phillips
## 1898 -108.7760 47.66436    36             phillips
## 1899 -108.7932 47.69301    36             phillips
## 1900 -108.8562 47.73312    36             phillips
## 1901 -108.8964 47.73884    36             phillips
## 1902 -108.8964 47.84771    36             phillips
## 1903 -108.8849 47.85917    36             phillips
## 1904 -108.8849 47.91646    36             phillips
## 1905 -108.6328 47.92219    36             phillips
## 1906 -108.6385 47.95084    36             phillips
## 1907 -108.6213 47.98521    36             phillips
## 1908 -108.5984 47.99667    36             phillips
## 1909 -108.5526 47.98521    36             phillips
## 1910 -108.4380 47.98521    36             phillips
## 1911 -108.4380 48.21440    36             phillips
## 1912 -108.4151 48.21440    36             phillips
## 1913 -108.4093 48.42066    36             phillips
## 1914 -108.3521 48.43213    36             phillips
## 1915 -108.3406 48.56390    36             phillips
## 1916 -108.3119 48.56390    36             phillips
## 1917 -108.3177 48.73006    36             phillips
## 1918 -108.2604 48.74152    36             phillips
## 1919 -108.2604 48.91341    36             phillips
## 1920 -108.2375 48.91914    36             phillips
## 1921 -108.2317 48.99362    36             phillips
## 1922 -108.0942 48.99935    36             phillips
## 1923 -107.8765 48.99362    36             phillips
## 1924 -107.6817 48.99362    36             phillips
## 1925 -107.4410 48.99935    36             phillips
## 1926 -107.2749 48.99362    36             phillips
## 1927 -107.1832 48.99935    36             phillips
## 1928 -107.1832 48.91914    36             phillips
## 1929 -107.2119 48.91341    36             phillips
## 1930 -107.2119 48.56390    36             phillips
## 1931 -107.1947 48.55244    36             phillips
## 1932 -107.2004 48.51234    36             phillips
## 1933 -107.2176 48.50661    36             phillips
## 1934 -107.2520 48.51807    36             phillips
## 1935 -107.2692 48.50661    36             phillips
## 1936 -107.2634 48.47796    36             phillips
## 1937 -107.3035 48.47796    36             phillips
## 1938 -107.3093 48.38629    36             phillips
## 1939 -107.2634 48.38055    36             phillips
## 1940 -107.2634 48.30034    36             phillips
## 1941 -107.3723 48.29461    36             phillips
## 1942 -107.3723 48.22013    36             phillips
## 1943 -107.4009 48.22013    36             phillips
## 1944 -107.4009 47.88208    36             phillips
## 1945 -107.4239 47.86489    36             phillips
## 1946 -107.4124 47.77895    36             phillips
## 1947 -107.4181 47.69301    36             phillips
## 1948 -107.4181 47.65863    36             phillips
## 1949 -107.4353 47.64717    36             phillips
## 1950 -107.4353 47.62998    36             phillips
## 1951 -107.4983 47.62425    36             phillips
## 1952 -107.5213 47.65290    36             phillips
## 1953 -107.6015 47.65290    36             phillips
## 1954 -107.6244 47.64144    36             phillips
## 1955 -107.6702 47.65290    36             phillips
## 1956 -107.6702 47.62425    36             phillips
## 1957 -107.7046 47.62425    36             phillips
## 1958 -107.7103 47.58987    36             phillips
## 1959 -107.7676 47.57269    36             phillips
## 1960 -107.7676 47.54977    36             phillips
## 1961 -107.8192 47.54977    36             phillips
## 1962 -107.8593 47.52685    36             phillips
## 1963 -107.8593 47.47528    36             phillips
## 1964 -107.9166 47.45810    36             phillips
## 1965 -107.9051 47.49820    36             phillips
## 1966 -107.9223 47.56123    36             phillips
## 1967 -107.9624 47.58987    36             phillips
## 1968 -108.0140 47.60133    36             phillips
## 1969 -108.0770 47.60133    36             phillips
## 1970 -108.2145 47.59560    36             phillips
## 1971 -108.3119 47.58987    36             phillips
## 1972 -108.3234 47.57269    36             phillips
## 1974 -112.1737 48.46077    37              pondera
## 1975 -112.1049 48.46077    37              pondera
## 1976 -112.0877 48.44931    37              pondera
## 1977 -112.0476 48.44931    37              pondera
## 1978 -112.0304 48.44358    37              pondera
## 1979 -111.9731 48.42066    37              pondera
## 1980 -111.9731 48.38055    37              pondera
## 1981 -111.7783 48.38055    37              pondera
## 1982 -111.7669 48.34045    37              pondera
## 1983 -111.6523 48.33472    37              pondera
## 1984 -111.6466 48.20867    37              pondera
## 1985 -111.3945 48.20867    37              pondera
## 1986 -111.3945 48.12273    37              pondera
## 1987 -111.4002 47.98521    37              pondera
## 1988 -111.9617 47.98521    37              pondera
## 1989 -111.9674 48.03678    37              pondera
## 1990 -112.0362 48.03678    37              pondera
## 1991 -112.0362 48.07689    37              pondera
## 1992 -112.1622 48.08262    37              pondera
## 1993 -112.1622 48.12273    37              pondera
## 1994 -112.5977 48.12845    37              pondera
## 1995 -112.9815 48.11700    37              pondera
## 1996 -113.0159 48.12273    37              pondera
## 1997 -113.0618 48.13418    37              pondera
## 1998 -113.1191 48.13418    37              pondera
## 1999 -113.1477 48.15710    37              pondera
## 2000 -113.2107 48.16283    37              pondera
## 2001 -113.2394 48.20294    37              pondera
## 2002 -113.2279 48.23732    37              pondera
## 2003 -113.2909 48.27169    37              pondera
## 2004 -113.3253 48.28315    37              pondera
## 2005 -113.3311 48.30034    37              pondera
## 2006 -112.5576 48.29461    37              pondera
## 2007 -112.5633 48.46650    37              pondera
## 2008 -112.1966 48.46650    37              pondera
## 2009 -112.1737 48.46077    37              pondera
## 2011 -104.9831 45.78506    38         powder river
## 2012 -104.9831 45.71630    38         powder river
## 2013 -104.9659 45.70484    38         powder river
## 2014 -104.9716 45.41837    38         powder river
## 2015 -104.9945 45.41837    38         powder river
## 2016 -104.9945 45.36107    38         powder river
## 2017 -105.0289 45.36107    38         powder river
## 2018 -105.0289 45.00583    38         powder river
## 2019 -105.0862 45.00010    38         powder river
## 2020 -105.1893 45.00583    38         powder river
## 2021 -105.3669 45.00583    38         powder river
## 2022 -105.6935 45.00583    38         powder river
## 2023 -105.9112 45.00583    38         powder river
## 2024 -106.0201 45.00010    38         powder river
## 2025 -106.2378 45.00583    38         powder river
## 2026 -106.2321 45.18918    38         powder river
## 2027 -106.2550 45.18918    38         powder river
## 2028 -106.2493 45.36107    38         powder river
## 2029 -106.2092 45.37253    38         powder river
## 2030 -106.2035 45.78506    38         powder river
## 2031 -106.1576 45.79079    38         powder river
## 2032 -106.0373 45.78506    38         powder river
## 2033 -105.3669 45.78506    38         powder river
## 2034 -105.3669 45.79652    38         powder river
## 2035 -105.1549 45.80798    38         powder river
## 2036 -105.1549 45.79079    38         powder river
## 2037 -104.9831 45.78506    38         powder river
## 2039 -113.2852 46.82784    39               powell
## 2040 -113.2967 47.17162    39               powell
## 2041 -113.4571 47.17162    39               powell
## 2042 -113.4571 47.59560    39               powell
## 2043 -113.1362 47.58987    39               powell
## 2044 -113.1305 47.55550    39               powell
## 2045 -113.0847 47.50966    39               powell
## 2046 -113.1248 47.48674    39               powell
## 2047 -113.0961 47.47528    39               powell
## 2048 -113.0446 47.48101    39               powell
## 2049 -113.0446 47.16589    39               powell
## 2050 -112.7925 47.15443    39               powell
## 2051 -112.7925 46.82784    39               powell
## 2052 -112.5289 46.82211    39               powell
## 2053 -112.5289 46.69033    39               powell
## 2054 -112.4086 46.69033    39               powell
## 2055 -112.4029 46.65022    39               powell
## 2056 -112.3284 46.64450    39               powell
## 2057 -112.2883 46.59866    39               powell
## 2058 -112.3169 46.55855    39               powell
## 2059 -112.2940 46.49553    39               powell
## 2060 -112.3284 46.43250    39               powell
## 2061 -112.3284 46.39812    39               powell
## 2062 -112.3456 46.39812    39               powell
## 2063 -112.3513 46.38666    39               powell
## 2064 -112.3685 46.38093    39               powell
## 2065 -112.4201 46.37521    39               powell
## 2066 -112.4430 46.34082    39               powell
## 2067 -112.4716 46.32364    39               powell
## 2068 -112.4945 46.33510    39               powell
## 2069 -112.5289 46.31791    39               powell
## 2070 -112.5346 46.28353    39               powell
## 2071 -112.5461 46.26061    39               powell
## 2072 -113.0274 46.25488    39               powell
## 2073 -113.0274 46.73044    39               powell
## 2074 -113.0446 46.73617    39               powell
## 2075 -113.1420 46.67887    39               powell
## 2076 -113.1764 46.72471    39               powell
## 2077 -113.1764 46.74763    39               powell
## 2078 -113.2222 46.78773    39               powell
## 2079 -113.2451 46.82784    39               powell
## 2080 -113.2852 46.82784    39               powell
## 2082 -106.0659 47.18880    40              prairie
## 2083 -105.9399 47.18307    40              prairie
## 2084 -105.9399 47.09713    40              prairie
## 2085 -105.8024 47.09713    40              prairie
## 2086 -105.7967 47.18307    40              prairie
## 2087 -105.4013 47.18880    40              prairie
## 2088 -105.3154 47.18307    40              prairie
## 2089 -105.3096 46.98254    40              prairie
## 2090 -105.1836 46.97681    40              prairie
## 2091 -105.1836 46.91951    40              prairie
## 2092 -105.0690 46.91951    40              prairie
## 2093 -105.0174 46.89660    40              prairie
## 2094 -105.0174 46.86222    40              prairie
## 2095 -104.5934 46.86222    40              prairie
## 2096 -104.5877 46.68460    40              prairie
## 2097 -104.5877 46.66168    40              prairie
## 2098 -104.7138 46.65595    40              prairie
## 2099 -104.7195 46.62158    40              prairie
## 2100 -104.8513 46.62158    40              prairie
## 2101 -104.8513 46.57574    40              prairie
## 2102 -104.9831 46.57574    40              prairie
## 2103 -104.9831 46.55282    40              prairie
## 2104 -105.2237 46.54136    40              prairie
## 2105 -105.2294 46.57574    40              prairie
## 2106 -105.4357 46.57001    40              prairie
## 2107 -105.4357 46.60439    40              prairie
## 2108 -105.4701 46.60439    40              prairie
## 2109 -105.4815 46.65022    40              prairie
## 2110 -105.5446 46.66741    40              prairie
## 2111 -105.5503 46.74763    40              prairie
## 2112 -105.5847 46.74763    40              prairie
## 2113 -105.5904 46.82784    40              prairie
## 2114 -105.8024 46.84503    40              prairie
## 2115 -105.8081 46.87368    40              prairie
## 2116 -106.0659 46.87368    40              prairie
## 2117 -106.0659 47.18880    40              prairie
## 2119 -113.8009 46.65595    41              ravalli
## 2120 -113.8123 46.63303    41              ravalli
## 2121 -113.7894 46.61012    41              ravalli
## 2122 -113.7951 46.57574    41              ravalli
## 2123 -113.8123 46.57001    41              ravalli
## 2124 -113.8238 46.52990    41              ravalli
## 2125 -113.7951 46.51271    41              ravalli
## 2126 -113.8353 46.48407    41              ravalli
## 2127 -113.8353 46.41531    41              ravalli
## 2128 -113.7894 46.39240    41              ravalli
## 2129 -113.7608 46.30645    41              ravalli
## 2130 -113.7321 46.26634    41              ravalli
## 2131 -113.7722 46.23769    41              ravalli
## 2132 -113.7722 46.20905    41              ravalli
## 2133 -113.8066 46.20905    41              ravalli
## 2134 -113.8066 46.19759    41              ravalli
## 2135 -113.7722 46.18040    41              ravalli
## 2136 -113.7780 46.12883    41              ravalli
## 2137 -113.7379 46.10019    41              ravalli
## 2138 -113.7837 46.04289    41              ravalli
## 2139 -113.7665 46.02570    41              ravalli
## 2140 -113.7321 46.04289    41              ravalli
## 2141 -113.6691 46.02570    41              ravalli
## 2142 -113.6519 45.97986    41              ravalli
## 2143 -113.6061 45.93402    41              ravalli
## 2144 -113.5373 45.90538    41              ravalli
## 2145 -113.5946 45.88246    41              ravalli
## 2146 -113.6920 45.85381    41              ravalli
## 2147 -113.7379 45.83089    41              ravalli
## 2148 -113.7722 45.80798    41              ravalli
## 2149 -113.7837 45.76787    41              ravalli
## 2150 -113.8066 45.74495    41              ravalli
## 2151 -113.8524 45.75068    41              ravalli
## 2152 -113.8811 45.75068    41              ravalli
## 2153 -113.8925 45.72776    41              ravalli
## 2154 -113.9327 45.69911    41              ravalli
## 2155 -113.9900 45.70484    41              ravalli
## 2156 -114.0702 45.61317    41              ravalli
## 2157 -114.1618 45.53296    41              ravalli
## 2158 -114.2306 45.53296    41              ravalli
## 2159 -114.2650 45.47566    41              ravalli
## 2160 -114.3337 45.45847    41              ravalli
## 2161 -114.4483 45.52723    41              ravalli
## 2162 -114.4655 45.55587    41              ravalli
## 2163 -114.5400 45.56160    41              ravalli
## 2164 -114.5629 45.62463    41              ravalli
## 2165 -114.4942 45.65900    41              ravalli
## 2166 -114.4999 45.69339    41              ravalli
## 2167 -114.5171 45.73349    41              ravalli
## 2168 -114.5400 45.76787    41              ravalli
## 2169 -114.5285 45.81371    41              ravalli
## 2170 -114.4655 45.84808    41              ravalli
## 2171 -114.3738 45.87673    41              ravalli
## 2172 -114.4082 45.92257    41              ravalli
## 2173 -114.4082 45.97413    41              ravalli
## 2174 -114.4598 45.99132    41              ravalli
## 2175 -114.4999 46.03716    41              ravalli
## 2176 -114.4598 46.07153    41              ravalli
## 2177 -114.4540 46.09445    41              ravalli
## 2178 -114.5056 46.12883    41              ravalli
## 2179 -114.5056 46.15748    41              ravalli
## 2180 -114.4426 46.16894    41              ravalli
## 2181 -114.4369 46.20905    41              ravalli
## 2182 -114.4598 46.25488    41              ravalli
## 2183 -114.4369 46.27207    41              ravalli
## 2184 -114.3738 46.42677    41              ravalli
## 2185 -114.3968 46.49553    41              ravalli
## 2186 -114.3452 46.51271    41              ravalli
## 2187 -114.3452 46.56428    41              ravalli
## 2188 -114.3223 46.63303    41              ravalli
## 2189 -114.1332 46.63303    41              ravalli
## 2190 -114.1275 46.65595    41              ravalli
## 2191 -113.8009 46.65595    41              ravalli
## 2193 -104.3986 47.35496    42             richland
## 2194 -104.4960 47.35496    42             richland
## 2195 -104.5018 47.52685    42             richland
## 2196 -104.5705 47.52685    42             richland
## 2197 -104.5763 47.61279    42             richland
## 2198 -104.9659 47.61279    42             richland
## 2199 -104.9716 47.69873    42             richland
## 2200 -105.2237 47.69873    42             richland
## 2201 -105.2294 47.79614    42             richland
## 2202 -105.2352 47.87062    42             richland
## 2203 -105.1893 47.87635    42             richland
## 2204 -105.1950 48.08834    42             richland
## 2205 -105.1836 48.09981    42             richland
## 2206 -105.1664 48.08262    42             richland
## 2207 -105.1492 48.08262    42             richland
## 2208 -105.1206 48.09981    42             richland
## 2209 -105.1206 48.07116    42             richland
## 2210 -105.1091 48.06543    42             richland
## 2211 -105.0862 48.07116    42             richland
## 2212 -105.0633 48.05970    42             richland
## 2213 -104.9888 48.08834    42             richland
## 2214 -104.9544 48.09981    42             richland
## 2215 -104.9200 48.13992    42             richland
## 2216 -104.8857 48.14565    42             richland
## 2217 -104.8627 48.12845    42             richland
## 2218 -104.8284 48.11700    42             richland
## 2219 -104.7997 48.12273    42             richland
## 2220 -104.7424 48.10554    42             richland
## 2221 -104.7138 48.11700    42             richland
## 2222 -104.6908 48.10554    42             richland
## 2223 -104.6622 48.09981    42             richland
## 2224 -104.6393 48.11126    42             richland
## 2225 -104.6278 48.13418    42             richland
## 2226 -104.5877 48.11126    42             richland
## 2227 -104.5476 48.11700    42             richland
## 2228 -104.5190 48.09981    42             richland
## 2229 -104.4789 48.11126    42             richland
## 2230 -104.3585 48.05397    42             richland
## 2231 -104.2955 48.04824    42             richland
## 2232 -104.2268 48.02532    42             richland
## 2233 -104.2038 48.03678    42             richland
## 2234 -104.1981 48.06543    42             richland
## 2235 -104.1752 48.03678    42             richland
## 2236 -104.1408 48.04824    42             richland
## 2237 -104.1351 48.04251    42             richland
## 2238 -104.1007 48.02532    42             richland
## 2239 -104.0892 48.00241    42             richland
## 2240 -104.0491 47.98521    42             richland
## 2241 -104.0491 47.40080    42             richland
## 2242 -104.1179 47.40080    42             richland
## 2243 -104.1179 47.36069    42             richland
## 2244 -104.3986 47.35496    42             richland
## 2246 -105.8310 48.02532    43            roosevelt
## 2247 -105.8253 48.22013    43            roosevelt
## 2248 -105.7909 48.22586    43            roosevelt
## 2249 -105.7852 48.41494    43            roosevelt
## 2250 -105.7852 48.56390    43            roosevelt
## 2251 -104.9716 48.56390    43            roosevelt
## 2252 -104.7424 48.56390    43            roosevelt
## 2253 -104.7424 48.48942    43            roosevelt
## 2254 -104.6164 48.47796    43            roosevelt
## 2255 -104.6164 48.38629    43            roosevelt
## 2256 -104.0491 48.38629    43            roosevelt
## 2257 -104.0491 47.98521    43            roosevelt
## 2258 -104.0892 48.00241    43            roosevelt
## 2259 -104.1007 48.02532    43            roosevelt
## 2260 -104.1351 48.04251    43            roosevelt
## 2261 -104.1408 48.04824    43            roosevelt
## 2262 -104.1752 48.03678    43            roosevelt
## 2263 -104.1981 48.06543    43            roosevelt
## 2264 -104.2038 48.03678    43            roosevelt
## 2265 -104.2268 48.02532    43            roosevelt
## 2266 -104.2955 48.04824    43            roosevelt
## 2267 -104.3585 48.05397    43            roosevelt
## 2268 -104.4789 48.11126    43            roosevelt
## 2269 -104.5190 48.09981    43            roosevelt
## 2270 -104.5476 48.11700    43            roosevelt
## 2271 -104.5877 48.11126    43            roosevelt
## 2272 -104.6278 48.13418    43            roosevelt
## 2273 -104.6393 48.11126    43            roosevelt
## 2274 -104.6622 48.09981    43            roosevelt
## 2275 -104.6908 48.10554    43            roosevelt
## 2276 -104.7138 48.11700    43            roosevelt
## 2277 -104.7424 48.10554    43            roosevelt
## 2278 -104.7997 48.12273    43            roosevelt
## 2279 -104.8284 48.11700    43            roosevelt
## 2280 -104.8627 48.12845    43            roosevelt
## 2281 -104.8857 48.14565    43            roosevelt
## 2282 -104.9200 48.13992    43            roosevelt
## 2283 -104.9544 48.09981    43            roosevelt
## 2284 -104.9888 48.08834    43            roosevelt
## 2285 -105.0633 48.05970    43            roosevelt
## 2286 -105.0862 48.07116    43            roosevelt
## 2287 -105.1091 48.06543    43            roosevelt
## 2288 -105.1206 48.07116    43            roosevelt
## 2289 -105.1206 48.09981    43            roosevelt
## 2290 -105.1492 48.08262    43            roosevelt
## 2291 -105.1664 48.08262    43            roosevelt
## 2292 -105.1836 48.09981    43            roosevelt
## 2293 -105.1950 48.08834    43            roosevelt
## 2294 -105.2237 48.07689    43            roosevelt
## 2295 -105.2466 48.09408    43            roosevelt
## 2296 -105.3326 48.08834    43            roosevelt
## 2297 -105.3440 48.10554    43            roosevelt
## 2298 -105.3268 48.12273    43            roosevelt
## 2299 -105.3326 48.14565    43            roosevelt
## 2300 -105.3899 48.09981    43            roosevelt
## 2301 -105.5044 48.09981    43            roosevelt
## 2302 -105.5216 48.08262    43            roosevelt
## 2303 -105.5675 48.08834    43            roosevelt
## 2304 -105.6362 48.07689    43            roosevelt
## 2305 -105.6534 48.05970    43            roosevelt
## 2306 -105.6821 48.05970    43            roosevelt
## 2307 -105.7451 48.03678    43            roosevelt
## 2308 -105.7737 48.05970    43            roosevelt
## 2309 -105.7737 48.03105    43            roosevelt
## 2310 -105.8310 48.02532    43            roosevelt
## 2312 -107.8765 46.84503    44              rosebud
## 2313 -107.6645 46.84503    44              rosebud
## 2314 -107.4697 46.85076    44              rosebud
## 2315 -107.4582 46.86222    44              rosebud
## 2316 -106.7191 46.86222    44              rosebud
## 2317 -106.7134 46.85076    44              rosebud
## 2318 -106.0659 46.85076    44              rosebud
## 2319 -106.0602 46.83930    44              rosebud
## 2320 -106.1003 46.83930    44              rosebud
## 2321 -106.0946 46.49553    44              rosebud
## 2322 -106.1290 46.48407    44              rosebud
## 2323 -106.1290 46.14602    44              rosebud
## 2324 -106.1519 46.14602    44              rosebud
## 2325 -106.1634 46.04289    44              rosebud
## 2326 -106.1519 46.02570    44              rosebud
## 2327 -106.1576 45.79079    44              rosebud
## 2328 -106.2035 45.78506    44              rosebud
## 2329 -106.2092 45.37253    44              rosebud
## 2330 -106.2493 45.36107    44              rosebud
## 2331 -106.2550 45.18918    44              rosebud
## 2332 -106.7707 45.18918    44              rosebud
## 2333 -106.7707 45.34961    44              rosebud
## 2334 -106.7306 45.35534    44              rosebud
## 2335 -106.7306 45.67620    44              rosebud
## 2336 -106.8452 45.67047    44              rosebud
## 2337 -106.8566 45.68192    44              rosebud
## 2338 -106.9082 45.68192    44              rosebud
## 2339 -106.9082 45.78506    44              rosebud
## 2340 -106.8681 45.79079    44              rosebud
## 2341 -106.8681 45.82516    44              rosebud
## 2342 -106.9254 45.82516    44              rosebud
## 2343 -106.9311 45.86527    44              rosebud
## 2344 -106.9254 46.14029    44              rosebud
## 2345 -106.9827 46.14029    44              rosebud
## 2346 -106.9884 46.31218    44              rosebud
## 2347 -107.0171 46.31218    44              rosebud
## 2348 -107.0113 46.39240    44              rosebud
## 2349 -107.1374 46.39812    44              rosebud
## 2350 -107.1603 46.48407    44              rosebud
## 2351 -107.4754 46.48407    44              rosebud
## 2352 -107.7333 46.47834    44              rosebud
## 2353 -107.7504 46.49553    44              rosebud
## 2354 -107.7791 46.48980    44              rosebud
## 2355 -107.7906 46.50126    44              rosebud
## 2356 -107.7906 46.59866    44              rosebud
## 2357 -107.8364 46.61012    44              rosebud
## 2358 -107.7848 46.69033    44              rosebud
## 2359 -107.8307 46.71898    44              rosebud
## 2360 -107.8135 46.74190    44              rosebud
## 2361 -107.8249 46.74763    44              rosebud
## 2362 -107.8765 46.84503    44              rosebud
## 2364 -114.7864 47.26329    45              sanders
## 2365 -114.8322 47.26329    45              sanders
## 2366 -114.8379 47.28621    45              sanders
## 2367 -114.8952 47.29193    45              sanders
## 2368 -114.9010 47.30340    45              sanders
## 2369 -114.9583 47.30340    45              sanders
## 2370 -114.9640 47.36069    45              sanders
## 2371 -114.9869 47.38934    45              sanders
## 2372 -115.0614 47.41226    45              sanders
## 2373 -115.1359 47.42372    45              sanders
## 2374 -115.1702 47.45236    45              sanders
## 2375 -115.2218 47.45236    45              sanders
## 2376 -115.2677 47.48101    45              sanders
## 2377 -115.3192 47.46383    45              sanders
## 2378 -115.3593 47.47528    45              sanders
## 2379 -115.4338 47.47528    45              sanders
## 2380 -115.4796 47.45810    45              sanders
## 2381 -115.4968 47.49820    45              sanders
## 2382 -115.5255 47.48101    45              sanders
## 2383 -115.5713 47.46955    45              sanders
## 2384 -115.5942 47.48101    45              sanders
## 2385 -115.6515 47.47528    45              sanders
## 2386 -115.7375 47.54404    45              sanders
## 2387 -115.7088 47.56696    45              sanders
## 2388 -115.6916 47.60706    45              sanders
## 2389 -115.7375 47.63571    45              sanders
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## 2391 -115.7833 47.74457    45              sanders
## 2392 -115.8406 47.75603    45              sanders
## 2393 -115.8693 47.81333    45              sanders
## 2394 -115.9151 47.84198    45              sanders
## 2395 -116.0297 47.95657    45              sanders
## 2396 -116.0411 47.99667    45              sanders
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## 2399 -115.9323 48.16283    45              sanders
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## 2482 -104.5018 49.00508    46             sheridan
## 2483 -104.2497 48.99935    46             sheridan
## 2484 -104.0491 48.99935    46             sheridan
## 2486 -112.5633 46.16894    47           silver bow
## 2487 -112.5117 46.16894    47           silver bow
## 2488 -112.5003 46.15175    47           silver bow
## 2489 -112.5060 46.10592    47           silver bow
## 2490 -112.4602 46.08300    47           silver bow
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## 2492 -112.4430 46.02570    47           silver bow
## 2493 -112.4487 45.96268    47           silver bow
## 2494 -112.4143 45.91684    47           silver bow
## 2495 -112.3971 45.84235    47           silver bow
## 2496 -112.2596 45.78506    47           silver bow
## 2497 -112.2424 45.76787    47           silver bow
## 2498 -112.1909 45.76787    47           silver bow
## 2499 -112.1622 45.75068    47           silver bow
## 2500 -112.1851 45.74495    47           silver bow
## 2501 -112.4602 45.74495    47           silver bow
## 2502 -112.4888 45.76214    47           silver bow
## 2503 -112.5232 45.70484    47           silver bow
## 2504 -112.6263 45.64182    47           silver bow
## 2505 -112.6779 45.61890    47           silver bow
## 2506 -112.6893 45.65900    47           silver bow
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## 2508 -112.7696 45.75641    47           silver bow
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## 2510 -112.9930 45.80225    47           silver bow
## 2511 -113.0732 45.85381    47           silver bow
## 2512 -113.0159 45.86527    47           silver bow
## 2513 -112.9815 45.89965    47           silver bow
## 2514 -112.9644 45.91684    47           silver bow
## 2515 -112.9243 45.92830    47           silver bow
## 2516 -112.9357 45.98560    47           silver bow
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## 2518 -112.8555 46.03716    47           silver bow
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## 2522 -112.6320 46.16321    47           silver bow
## 2523 -112.5977 46.15175    47           silver bow
## 2524 -112.5633 46.16894    47           silver bow
## 2526 -110.0537 45.17772    48           stillwater
## 2527 -110.0595 45.34388    48           stillwater
## 2528 -109.9449 45.34961    48           stillwater
## 2529 -109.9334 45.52723    48           stillwater
## 2530 -109.8188 45.52723    48           stillwater
## 2531 -109.8188 45.56733    48           stillwater
## 2532 -109.6870 45.56733    48           stillwater
## 2533 -109.6813 45.61317    48           stillwater
## 2534 -109.5724 45.61317    48           stillwater
## 2535 -109.5724 45.78506    48           stillwater
## 2536 -109.5553 45.79079    48           stillwater
## 2537 -109.5495 45.86527    48           stillwater
## 2538 -109.5209 45.86527    48           stillwater
## 2539 -109.5152 45.95694    48           stillwater
## 2540 -109.4292 45.95694    48           stillwater
## 2541 -109.4235 46.04289    48           stillwater
## 2542 -109.4235 46.12883    48           stillwater
## 2543 -108.9250 46.12883    48           stillwater
## 2544 -108.9307 45.96268    48           stillwater
## 2545 -108.9021 45.95694    48           stillwater
## 2546 -108.8964 45.80798    48           stillwater
## 2547 -108.9078 45.79652    48           stillwater
## 2548 -108.9136 45.69339    48           stillwater
## 2549 -108.8906 45.68765    48           stillwater
## 2550 -108.8849 45.66473    48           stillwater
## 2551 -108.8620 45.64755    48           stillwater
## 2552 -108.8620 45.64182    48           stillwater
## 2553 -108.8391 45.64182    48           stillwater
## 2554 -108.8391 45.61890    48           stillwater
## 2555 -108.8620 45.61317    48           stillwater
## 2556 -108.9021 45.61890    48           stillwater
## 2557 -108.9594 45.61317    48           stillwater
## 2558 -109.0396 45.59025    48           stillwater
## 2559 -109.0969 45.58452    48           stillwater
## 2560 -109.1313 45.58452    48           stillwater
## 2561 -109.1313 45.53296    48           stillwater
## 2562 -109.1943 45.52723    48           stillwater
## 2563 -109.2000 45.46420    48           stillwater
## 2564 -109.3490 45.45847    48           stillwater
## 2565 -109.4006 45.44128    48           stillwater
## 2566 -109.4693 45.41837    48           stillwater
## 2567 -109.5094 45.40691    48           stillwater
## 2568 -109.5839 45.33242    48           stillwater
## 2569 -109.5839 45.30378    48           stillwater
## 2570 -109.6068 45.30378    48           stillwater
## 2571 -109.6011 45.25794    48           stillwater
## 2572 -109.6870 45.24648    48           stillwater
## 2573 -109.6870 45.17772    48           stillwater
## 2574 -109.8131 45.17199    48           stillwater
## 2575 -110.0537 45.17772    48           stillwater
## 2577 -109.4235 46.04289    49          sweet grass
## 2578 -109.4292 45.95694    49          sweet grass
## 2579 -109.5152 45.95694    49          sweet grass
## 2580 -109.5209 45.86527    49          sweet grass
## 2581 -109.5495 45.86527    49          sweet grass
## 2582 -109.5553 45.79079    49          sweet grass
## 2583 -109.5724 45.78506    49          sweet grass
## 2584 -109.5724 45.61317    49          sweet grass
## 2585 -109.6813 45.61317    49          sweet grass
## 2586 -109.6870 45.56733    49          sweet grass
## 2587 -109.8188 45.56733    49          sweet grass
## 2588 -109.8188 45.52723    49          sweet grass
## 2589 -109.9334 45.52723    49          sweet grass
## 2590 -109.9449 45.34961    49          sweet grass
## 2591 -110.0595 45.34388    49          sweet grass
## 2592 -110.0537 45.17772    49          sweet grass
## 2593 -110.2256 45.17772    49          sweet grass
## 2594 -110.2314 45.33815    49          sweet grass
## 2595 -110.2084 45.36107    49          sweet grass
## 2596 -110.2142 45.78506    49          sweet grass
## 2597 -110.3001 45.79079    49          sweet grass
## 2598 -110.3058 46.13456    49          sweet grass
## 2599 -110.2829 46.14029    49          sweet grass
## 2600 -110.2829 46.18040    49          sweet grass
## 2601 -110.2829 46.21478    49          sweet grass
## 2602 -109.6584 46.21478    49          sweet grass
## 2603 -109.6527 46.12883    49          sweet grass
## 2604 -109.5954 46.12883    49          sweet grass
## 2605 -109.6011 46.04289    49          sweet grass
## 2606 -109.4235 46.04289    49          sweet grass
## 2608 -112.0362 47.50966    50                teton
## 2609 -112.0877 47.51539    50                teton
## 2610 -112.2252 47.50393    50                teton
## 2611 -112.2940 47.50393    50                teton
## 2612 -112.3226 47.53831    50                teton
## 2613 -112.3742 47.53831    50                teton
## 2614 -112.4258 47.58987    50                teton
## 2615 -112.5289 47.63571    50                teton
## 2616 -112.6378 47.61852    50                teton
## 2617 -112.7008 47.61852    50                teton
## 2618 -112.7696 47.59560    50                teton
## 2619 -112.8211 47.61852    50                teton
## 2620 -112.9013 47.67582    50                teton
## 2621 -112.9185 47.75031    50                teton
## 2622 -112.8956 47.79614    50                teton
## 2623 -112.9357 47.85917    50                teton
## 2624 -112.9472 47.91073    50                teton
## 2625 -112.9758 47.94511    50                teton
## 2626 -112.9357 47.92792    50                teton
## 2627 -112.8612 47.97375    50                teton
## 2628 -112.8841 48.01386    50                teton
## 2629 -112.9414 48.03678    50                teton
## 2630 -112.9300 48.05970    50                teton
## 2631 -112.9758 48.07689    50                teton
## 2632 -112.9815 48.11700    50                teton
## 2633 -112.5977 48.12845    50                teton
## 2634 -112.1622 48.12273    50                teton
## 2635 -112.1622 48.08262    50                teton
## 2636 -112.0362 48.07689    50                teton
## 2637 -112.0362 48.03678    50                teton
## 2638 -111.9674 48.03678    50                teton
## 2639 -111.9617 47.98521    50                teton
## 2640 -111.4002 47.98521    50                teton
## 2641 -111.3887 47.69301    50                teton
## 2642 -111.6523 47.69301    50                teton
## 2643 -111.6523 47.60133    50                teton
## 2644 -111.9158 47.60133    50                teton
## 2645 -111.9216 47.49820    50                teton
## 2646 -111.9560 47.50393    50                teton
## 2647 -112.0362 47.50966    50                teton
## 2649 -111.3945 48.20867    51                toole
## 2650 -111.6466 48.20867    51                toole
## 2651 -111.6523 48.33472    51                toole
## 2652 -111.7669 48.34045    51                toole
## 2653 -111.7783 48.38055    51                toole
## 2654 -111.9731 48.38055    51                toole
## 2655 -111.9731 48.42066    51                toole
## 2656 -112.0304 48.44358    51                toole
## 2657 -112.0476 48.44931    51                toole
## 2658 -112.0877 48.44931    51                toole
## 2659 -112.1049 48.46077    51                toole
## 2660 -112.1737 48.46077    51                toole
## 2661 -112.1737 48.60974    51                toole
## 2662 -112.1966 48.62120    51                toole
## 2663 -112.1851 48.88476    51                toole
## 2664 -112.2138 48.89049    51                toole
## 2665 -112.1966 48.99362    51                toole
## 2666 -112.0935 48.99362    51                toole
## 2667 -111.8586 48.99362    51                toole
## 2668 -111.5835 48.99362    51                toole
## 2669 -111.3773 48.99362    51                toole
## 2670 -111.2512 48.99935    51                toole
## 2671 -111.2512 48.90195    51                toole
## 2672 -111.2684 48.89049    51                toole
## 2673 -111.2627 48.46650    51                toole
## 2674 -111.2971 48.47223    51                toole
## 2675 -111.3142 48.21440    51                toole
## 2676 -111.3945 48.20867    51                toole
## 2678 -107.5098 46.04289    52             treasure
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## 2683 -107.6301 46.35801    52             treasure
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## 2701 -107.1660 45.91684    52             treasure
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## 2704 -107.4181 46.04289    52             treasure
## 2705 -107.5098 46.04289    52             treasure
## 2707 -105.8310 48.02532    53               valley
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## 2709 -105.8998 48.02532    53               valley
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## 2736 -107.3093 47.68155    53               valley
## 2737 -107.4181 47.69301    53               valley
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## 2748 -107.2634 48.47796    53               valley
## 2749 -107.2692 48.50661    53               valley
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## 2751 -107.2176 48.50661    53               valley
## 2752 -107.2004 48.51234    53               valley
## 2753 -107.1947 48.55244    53               valley
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## 2755 -107.2119 48.91341    53               valley
## 2756 -107.1832 48.91914    53               valley
## 2757 -107.1832 48.99935    53               valley
## 2758 -107.0572 48.99362    53               valley
## 2759 -106.8681 48.99935    53               valley
## 2760 -106.6389 48.99935    53               valley
## 2761 -106.4384 48.99935    53               valley
## 2762 -106.2321 48.99935    53               valley
## 2763 -106.1003 48.99935    53               valley
## 2764 -106.1003 48.91914    53               valley
## 2765 -106.1404 48.91341    53               valley
## 2766 -106.1404 48.83319    53               valley
## 2767 -106.0144 48.82746    53               valley
## 2768 -106.0087 48.56963    53               valley
## 2769 -105.7852 48.56390    53               valley
## 2770 -105.7852 48.41494    53               valley
## 2771 -105.7909 48.22586    53               valley
## 2772 -105.8253 48.22013    53               valley
## 2773 -105.8310 48.02532    53               valley
## 2775 -110.2772 46.67887    54            wheatland
## 2776 -110.2256 46.70752    54            wheatland
## 2777 -110.1569 46.71898    54            wheatland
## 2778 -110.0996 46.73617    54            wheatland
## 2779 -110.0423 46.73617    54            wheatland
## 2780 -110.0022 46.73044    54            wheatland
## 2781 -109.9506 46.73617    54            wheatland
## 2782 -109.9162 46.72471    54            wheatland
## 2783 -109.8532 46.69033    54            wheatland
## 2784 -109.7959 46.68460    54            wheatland
## 2785 -109.7157 46.68460    54            wheatland
## 2786 -109.3834 46.68460    54            wheatland
## 2787 -109.3834 46.50698    54            wheatland
## 2788 -109.4063 46.50126    54            wheatland
## 2789 -109.4063 46.22050    54            wheatland
## 2790 -109.6584 46.21478    54            wheatland
## 2791 -110.2829 46.21478    54            wheatland
## 2792 -110.2772 46.67887    54            wheatland
## 2794 -104.5934 46.86222    55               wibaux
## 2795 -104.4846 46.86222    55               wibaux
## 2796 -104.3872 46.93097    55               wibaux
## 2797 -104.3184 46.99400    55               wibaux
## 2798 -104.3184 47.04556    55               wibaux
## 2799 -104.2955 47.04556    55               wibaux
## 2800 -104.3070 47.19453    55               wibaux
## 2801 -104.3471 47.26902    55               wibaux
## 2802 -104.4044 47.32059    55               wibaux
## 2803 -104.4330 47.32631    55               wibaux
## 2804 -104.3986 47.35496    55               wibaux
## 2805 -104.1179 47.36069    55               wibaux
## 2806 -104.1179 47.40080    55               wibaux
## 2807 -104.0491 47.40080    55               wibaux
## 2808 -104.0491 47.33204    55               wibaux
## 2809 -104.0434 46.64450    55               wibaux
## 2810 -104.3356 46.64450    55               wibaux
## 2811 -104.3471 46.67314    55               wibaux
## 2812 -104.3986 46.67314    55               wibaux
## 2813 -104.3986 46.69033    55               wibaux
## 2814 -104.5877 46.68460    55               wibaux
## 2815 -104.5934 46.86222    55               wibaux
## 2817 -107.7791 46.48980    56          yellowstone
## 2818 -107.7504 46.49553    56          yellowstone
## 2819 -107.7333 46.47834    56          yellowstone
## 2820 -107.7333 46.45542    56          yellowstone
## 2821 -107.7103 46.45542    56          yellowstone
## 2822 -107.7103 46.44969    56          yellowstone
## 2823 -107.6874 46.43823    56          yellowstone
## 2824 -107.6874 46.40958    56          yellowstone
## 2825 -107.6301 46.35801    56          yellowstone
## 2826 -107.6015 46.35801    56          yellowstone
## 2827 -107.5957 46.32937    56          yellowstone
## 2828 -107.4239 46.16894    56          yellowstone
## 2829 -107.4869 46.08300    56          yellowstone
## 2830 -107.5098 46.04289    56          yellowstone
## 2831 -107.6702 46.04289    56          yellowstone
## 2832 -107.6702 45.98560    56          yellowstone
## 2833 -107.7848 45.97986    56          yellowstone
## 2834 -107.7848 45.96268    56          yellowstone
## 2835 -107.8307 45.96840    56          yellowstone
## 2836 -107.8364 45.93976    56          yellowstone
## 2837 -107.8765 45.93402    56          yellowstone
## 2838 -107.8822 45.90538    56          yellowstone
## 2839 -108.0369 45.89392    56          yellowstone
## 2840 -108.0426 45.79079    56          yellowstone
## 2841 -108.0656 45.78506    56          yellowstone
## 2842 -108.0656 45.52150    56          yellowstone
## 2843 -108.1973 45.52150    56          yellowstone
## 2844 -108.2031 45.49285    56          yellowstone
## 2845 -108.3177 45.49285    56          yellowstone
## 2846 -108.3177 45.46993    56          yellowstone
## 2847 -108.4380 45.46420    56          yellowstone
## 2848 -108.6557 45.46993    56          yellowstone
## 2849 -108.6901 45.46993    56          yellowstone
## 2850 -108.7016 45.51577    56          yellowstone
## 2851 -108.8104 45.52723    56          yellowstone
## 2852 -108.8161 45.55587    56          yellowstone
## 2853 -108.7932 45.59025    56          yellowstone
## 2854 -108.7990 45.63609    56          yellowstone
## 2855 -108.8391 45.61890    56          yellowstone
## 2856 -108.8391 45.64182    56          yellowstone
## 2857 -108.8620 45.64182    56          yellowstone
## 2858 -108.8620 45.64755    56          yellowstone
## 2859 -108.8849 45.66473    56          yellowstone
## 2860 -108.8906 45.68765    56          yellowstone
## 2861 -108.9136 45.69339    56          yellowstone
## 2862 -108.9078 45.79652    56          yellowstone
## 2863 -108.8964 45.80798    56          yellowstone
## 2864 -108.9021 45.95694    56          yellowstone
## 2865 -108.9307 45.96268    56          yellowstone
## 2866 -108.9250 46.12883    56          yellowstone
## 2867 -108.7818 46.13456    56          yellowstone
## 2868 -108.4093 46.12883    56          yellowstone
## 2869 -108.4036 46.22623    56          yellowstone
## 2870 -108.3635 46.22623    56          yellowstone
## 2871 -108.3635 46.24342    56          yellowstone
## 2872 -108.3177 46.24342    56          yellowstone
## 2873 -108.3177 46.25488    56          yellowstone
## 2874 -108.0312 46.26061    56          yellowstone
## 2875 -108.0312 46.30645    56          yellowstone
## 2876 -108.0140 46.30645    56          yellowstone
## 2877 -108.0140 46.34082    56          yellowstone
## 2878 -107.9854 46.32937    56          yellowstone
## 2879 -107.9854 46.34082    56          yellowstone
## 2880 -107.9682 46.34082    56          yellowstone
## 2881 -107.9682 46.35801    56          yellowstone
## 2882 -107.9510 46.35801    56          yellowstone
## 2883 -107.9510 46.37521    56          yellowstone
## 2884 -107.9338 46.37521    56          yellowstone
## 2885 -107.9338 46.39240    56          yellowstone
## 2886 -107.7791 46.38666    56          yellowstone
## 2887 -107.7791 46.48980    56          yellowstone
## 2889 -111.0564 44.49017    57 yellowstone national
## 2890 -111.0908 44.49017    57 yellowstone national
## 2891 -111.0965 44.89697    57 yellowstone national
## 2892 -111.0965 45.04021    57 yellowstone national
## 2893 -111.1137 45.04594    57 yellowstone national
## 2894 -111.1137 45.08032    57 yellowstone national
## 2895 -111.0965 45.09178    57 yellowstone national
## 2896 -111.0679 45.07459    57 yellowstone national
## 2897 -111.0450 45.06313    57 yellowstone national
## 2898 -111.0163 45.07459    57 yellowstone national
## 2899 -110.9991 45.08605    57 yellowstone national
## 2900 -110.9647 45.09751    57 yellowstone national
## 2901 -110.9590 45.07459    57 yellowstone national
## 2902 -110.9304 45.06313    57 yellowstone national
## 2903 -110.9189 45.03448    57 yellowstone national
## 2904 -110.8673 45.02875    57 yellowstone national
## 2905 -110.8731 45.04594    57 yellowstone national
## 2906 -110.8387 45.06313    57 yellowstone national
## 2907 -110.8158 45.05167    57 yellowstone national
## 2908 -110.8043 45.03448    57 yellowstone national
## 2909 -110.5236 45.03448    57 yellowstone national
## 2910 -110.1225 45.02875    57 yellowstone national
## 2911 -110.0308 45.04021    57 yellowstone national
## 2912 -110.0308 45.05167    57 yellowstone national
## 2913 -110.0022 45.05167    57 yellowstone national
## 2914 -109.9735 45.04021    57 yellowstone national
## 2915 -109.9850 45.01157    57 yellowstone national
## 2916 -109.9964 44.99438    57 yellowstone national
## 2917 -111.0450 44.99438    57 yellowstone national
## 2918 -111.0564 44.49017    57 yellowstone national

Montana Maps

Montana Maps

ggmap

The ggmap package contains nice tools for creating maps; however, it requries creating a google api to fetch the maps.
https://github.com/dkahle/ggmap

leaflet

Leaflet is another good option https://rstudio.github.io/leaflet/, however, it does not work well with this html slide conversion.

tmap

tmap also uses the grammar of graphics (gg) principles. https://cran.r-project.org/web/packages/tmap/vignettes/tmap-getstarted.html

## Simple feature collection with 177 features and 15 fields
## geometry type:  MULTIPOLYGON
## dimension:      XY
## bbox:           xmin: -16656120 ymin: -8460601 xmax: 16656120 ymax: 8375779
## epsg (SRID):    NA
## proj4string:    +proj=eck4 +lon_0=0 +x_0=0 +y_0=0 +datum=WGS84 +units=m +no_defs
## First 10 features:
##    iso_a3                   name           sovereignt               continent
## 1     AFG            Afghanistan          Afghanistan                    Asia
## 2     AGO                 Angola               Angola                  Africa
## 3     ALB                Albania              Albania                  Europe
## 4     ARE   United Arab Emirates United Arab Emirates                    Asia
## 5     ARG              Argentina            Argentina           South America
## 6     ARM                Armenia              Armenia                    Asia
## 7     ATA             Antarctica           Antarctica              Antarctica
## 8     ATF Fr. S. Antarctic Lands               France Seven seas (open ocean)
## 9     AUS              Australia            Australia                 Oceania
## 10    AUT                Austria              Austria                  Europe
##                   area  pop_est pop_est_dens                    economy
## 1    652860.000 [km^2] 28400000 4.350090e+01  7. Least developed region
## 2   1246700.000 [km^2] 12799293 1.026654e+01  7. Least developed region
## 3     27400.000 [km^2]  3639453 1.328268e+02       6. Developing region
## 4     71252.172 [km^2]  4798491 6.734519e+01       6. Developing region
## 5   2736690.000 [km^2] 40913584 1.495003e+01    5. Emerging region: G20
## 6     28470.000 [km^2]  2967004 1.042151e+02       6. Developing region
## 7  12259213.973 [km^2]     3802 3.101341e-04       6. Developing region
## 8      7257.455 [km^2]      140 1.929051e-02       6. Developing region
## 9   7682300.000 [km^2] 21262641 2.767744e+00 2. Developed region: nonG7
## 10    82523.000 [km^2]  8210281 9.949082e+01 2. Developed region: nonG7
##                 income_grp gdp_cap_est life_exp well_being footprint inequality
## 1            5. Low income    784.1549   59.668        3.8      0.79 0.42655744
## 2   3. Upper middle income   8617.6635       NA         NA        NA         NA
## 3   4. Lower middle income   5992.6588   77.347        5.5      2.21 0.16513372
## 4  2. High income: nonOECD  38407.9078       NA         NA        NA         NA
## 5   3. Upper middle income  14027.1261   75.927        6.5      3.14 0.16423830
## 6   4. Lower middle income   6326.2469   74.446        4.3      2.23 0.21664810
## 7  2. High income: nonOECD 200000.0000       NA         NA        NA         NA
## 8  2. High income: nonOECD 114285.7143       NA         NA        NA         NA
## 9     1. High income: OECD  37634.0832   82.052        7.2      9.31 0.08067825
## 10    1. High income: OECD  40132.6093   81.004        7.4      6.06 0.07129351
##         HPI                       geometry
## 1  20.22535 MULTIPOLYGON (((5310471 451...
## 2        NA MULTIPOLYGON (((1531585 -77...
## 3  36.76687 MULTIPOLYGON (((1729835 521...
## 4        NA MULTIPOLYGON (((4675864 313...
## 5  35.19024 MULTIPOLYGON (((-5017766 -6...
## 6  25.66642 MULTIPOLYGON (((3677241 513...
## 7        NA MULTIPOLYGON (((-3403793 -8...
## 8        NA MULTIPOLYGON (((5550200 -59...
## 9  21.22897 MULTIPOLYGON (((12288137 -5...
## 10 30.47822 MULTIPOLYGON (((1371802 588...

tmap

gg add on packages

more gg packages

Another of my favorite packages is the ggforce package: https://github.com/thomasp85/ggforce https://www.r-bloggers.com/the-ggforce-awakens-again/

Here is a link to other gg add ons http://www.ggplot2-exts.org/gallery/

Exercise

Using either the Seattle Housing dataset or the billboard data, explore the packages above.

Solution